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Global Dynamics of a Diffusive Lotka–Volterra Competition Model with Stage-Structure

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Abstract

In this paper, we investigate the global dynamics of a Lotka–Volterra competition–diffusion system with stage structure, general intrinsic growth rates and carrying capacities for two competing species in heterogeneous environments, in which each of two competing populations chooses its diffusion strategy as the tendency to have a distribution proportional to a certain positive prescribed function. Our results show that the species with shorter maturity time are dominant under the same other conditions. Our method is also applied to the global dynamics of other kinds of time-delay competition models.

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Funding

This work was partially supported by the National Natural Science Foundation of P. R. China (Grant Nos. 12161003, 12071446, 11801089), Jiangxi Provincial Natural Science Foundation (No. 20202BAB211003), and the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) (Grant No. CUGST2).

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Authors and Affiliations

  1. Computer Engineering Technical College (Artificial Intelligence College), Guangdong Polytechnic of Science and Technology, Zhuhai, 519090, Guangdong, People’s Republic of China

    Li Ma

  2. School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, Hubei, People’s Republic of China

    Shangjiang Guo

  3. Center for Mathematical Sciences, China University of Geosciences, Wuhan, 430074, Hubei, People’s Republic of China

    Shangjiang Guo

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  1. Li Ma
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  2. Shangjiang Guo
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All authors contributed to the planning, execution, and interpretation of the work reported. LM wrote a first draft of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Shangjiang Guo.

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Research supported by the NSFC (Grant Nos. 12161003, 12071446, 11801089), Jiangxi Provincial Natural Science Foundation (No. 20202BAB211003), and the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) (Grant No. CUGST2).

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Ma, L., Guo, S. Global Dynamics of a Diffusive Lotka–Volterra Competition Model with Stage-Structure. J Dyn Diff Equat (2023). https://doi.org/10.1007/s10884-023-10306-x

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